1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Help Solving Equation Involving A Rational Exponential

  1. Mar 1, 2016 #1
    1. The problem statement, all variables and given/known data
    Solve ##y=\mathrm{exp}(\frac{-x\pi}{\sqrt{1-x^2}})## for x when y = 0.1

    2. Relevant equations
    ##\mathrm{ln}(e^x)=x##

    3. The attempt at a solution
    ##\mathrm{ln}(0.1)=\frac{-x\pi}{\sqrt{1-x^2}}##
    ##(\frac{-\mathrm{ln}(0.1)}{\pi})^2=\frac{x^2}{1-x^2}##
     
  2. jcsd
  3. Mar 1, 2016 #2

    ehild

    User Avatar
    Homework Helper
    Gold Member

    It is all right so far. What is your problem? You got a simple equation for x2.
     
  4. Mar 1, 2016 #3

    SammyS

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    One thing that will improve the looks of the right hand side. Recognize that −ln(0.1) is ln( (0.1)−1 )

    Another thing you might try is to take the reciprocal of both sides of the equation.
     
  5. Mar 1, 2016 #4
    ##x=\sqrt{\frac{1}{\frac{\pi ^2}{(\mathrm{ln}(10))^2}+1}}##

    That's what I needed. Thank you.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Help Solving Equation Involving A Rational Exponential
Loading...